Finding the Fourth Proportional to 2,106,120,942.30, 3,159,181,413.45 and 1,017,729,774.30
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Solution
The fourth proportional to 2,106,120,942.30, 3,159,181,413.45 and 1,017,729,774.30 is: 1,526,594,661.45
Step by Step Solution
- Step 1: Write the proportion equation
2,106,120,942.30 : 3,159,181,413.45 = 1,017,729,774.30 : x - Step 2: Convert to fraction form
2,106,120,942.30/3,159,181,413.45 = 1,017,729,774.30/x - Step 3: Cross multiply
2,106,120,942.30x = 3,159,181,413.45 × 1,017,729,774.30 - Step 4: Simplify right side
2,106,120,942.30x = 3,215,192,986,883,223,040 - Step 5: Solve for x
x = 3,215,192,986,883,223,040/2,106,120,942.30 - Step 6: Final answer
x = 1,526,594,661.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.